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Firlakuza [10]
2 years ago
14

An angle measures 98° less than the measure of its supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
Tema [17]2 years ago
7 0

Answer: 41 and 139 degrees

Step-by-step explanation:

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Help much needed ✨ <br> Thank you
Radda [10]
1 = 64
2 = 44
3 = 5 over 1
3 0
3 years ago
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HELP ME OUT PLEASE!!!
11111nata11111 [884]

Answer:

C: (1,3)

Step-by-step explanation:

If we count 1 to the right on the x-axis and count 3 up on the y-axis, we will end up at the point of intersection which is (1,3).

4 0
2 years ago
A recent broadcast of a television show had a 10 ​share, meaning that among 6000 monitored households with TV sets in​ use, 10​%
Kisachek [45]

Answer:

Null and alternative hypothesis

H_0: \pi \geq0.25\\\\H_1: \pi

Test statistic z=-26.82

P-value P=0

The null hypothesis is rejected.

It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

H_0: \pi \geq0.25\\\\H_1: \pi

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

\sigma_p=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.25(1-25)}{6000} } =0.0056

The test statistic is calculated as:

z=\frac{p-\pi+0.5/N}{\sigma_p} =\frac{0.1-0.25+0.5/6000}{0.0056}=\frac{-0.1499}{0.0056}  =-26.82

As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.

Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

3 0
3 years ago
A car travels 360 miles in a period of 180 minutes. Find the average velocity of the car in miles per hour over this time period
Serggg [28]
The simple formula for velocity is v=d/t.  Velocity equals distance divided by time.  360 miles divided by 180 minutes.  360/180=2.  The car travels at 2 miles per MINUTE.

Now, to change to miles per HOUR.  There are 60 minutes in an hour, so 2*60=120 miles per hour.

Answer: 120 mph
4 0
3 years ago
Read 2 more answers
L varies directly with the square of Z. L is 12 when Z is 2. Find the value of L when Z is 4.
kow [346]

Answer:

L = 48

Step-by-step explanation:

Given that L varies directly with Z² , then the equation relating them is

L = kZ² ← k is the constant of variation

To find k use the condition L = 12 when Z = 2 , then

12 = k × 2² = 4k ( divide both sides by 4 )

3 = k

L = 3Z² ← equation of variation

When Z = 4 , then

L = 3 × 4² = 3 × 16 = 48

7 0
3 years ago
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